Class XI Chapter 5 – Complex Numbers and Quadratic Equations Maths ______________________________________________________________________________ Question 6: Solve the equation Solution 6: 2 20 3x 4x 0 3 The given quadratic equation is This equation can also be written as On comparing this equation with 2 20 3x 4x 0 3 2 9x 12x 20 0 2 ax bx c 0 Therefore, the discriminant of the given equation is 2 D b ac 2 4 12 4920 144 720 576 Therefore, the required solutions are , we obtain b D 12 576 12 576 i 1 i 2a 29 18 12 24i 6 2 4i 2 4i 2 4 i 18 18 3 3 3 a 9, b 12 and c 20 Question 7: Solve the equation Solution 7: x 2x 0 2 2 3 The given quadratic equation is This equation can also be written as On comparing this equation with x 2x 0 2 2 3 2 2x 4x 3 0 2 ax bx c 0 Therefore, the discriminant of the given equation is 2 D b ac 2 4 4 423 16 24 8 Therefore, the required solutions are b D 4 8 4 2 2 i 1 i 2a 22 4 2 2i 2 1 i 2 2 , we obtain a 2, b 4 and c 3

Class XI Chapter 5 – Complex Numbers and Quadratic Equations Maths ______________________________________________________________________________ Question 8: Solve the equation Solution 8: 2 27x 10x1 0 The given quadratic equation is On comparing this equation with 2 27x 10x1 0 2 ax bx c 0 Therefore, the discriminant of the given equation is 2 D b ac 2 4 10 4271 100 108 8 Therefore, the required solutions are b D 10 8 10 2 2 i 1 i 2a 227 54 5 2i 5 2 i 27 27 27 , we obtain a 27, b 10 and c 1 Question 9: Solve the equation Solution 9: 2 21x 28x10 0 The given quadratic equation is On comparing this equation with 2 21x 28x10 0 2 ax bx c 0 Therefore, the discriminant of the given equation is 2 D b ac 2 4 28 42**11**0 784 840 56 Therefore, the required solutions are , we obtain b D 28 56 28 56 i 1 i 2a 221 42 28 2 14 i 28 2 14 2 14 i i 42 42 42 3 21 a 21, b 28 and c 10 Question 10: If z 2 i, z 1 i, 1 2 Solution 10: z 2 i, z 1 i 1 2 find z1z2 1 z z i 1 2

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Class XI Chapter 12 - Introduction

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Class XI Chapter 13 - Limits and De

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